Equivariant motivic integration on formal schemes and the motivic zeta function

DOI10.1080/00927872.2018.1508578zbMath1441.14155arXiv1511.08656OpenAlexW2963703659WikidataQ128592191 ScholiaQ128592191MaRDI QIDQ5231157

Annabelle Hartmann

Publication date: 26 August 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.08656

zbMATH Keywords

algebraic geometrymotivic integrationmotivic zeta functionformal schemes

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Rigid analytic geometry (14G22) Formal methods and deformations in algebraic geometry (14D15) Arcs and motivic integration (14E18)

Related Items

Computing motivic zeta functions on log smooth models ⋮ Motivic zeta functions of hyperplane arrangements ⋮ Motivic zeta functions of degenerating Calabi-Yau varieties ⋮ Motivic zeta functions and infinite cyclic covers ⋮ Equivariant motivic integration and proof of the integral identity conjecture for regular functions

Cites Work

• Motivic zeta functions of Abelian varieties, and the monodromy conjecture
• The quotient map on the equivariant Grothendieck ring of varieties
• Motivic Serre invariants of curves
• A trace formula for rigid varieties, and motivic Weil generating series for formal schemes
• Irreducible components of rigid spaces
• Formal and rigid geometry. I: Rigid spaces
• Néron models in the setting of formal and rigid geometry
• Motivic integration on smooth rigid varieties and invariants of degenerations
• Finite group actions, rational fixed points and weak Néron models
• On motivic zeta functions and the motivic nearby fiber
• Formal and rigid geometry. III: The relative maximum principle
• Motivic Serre invariants, ramification, and the analytic Milnor fiber
• Motivic Serre invariants and Weil restriction
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
• Schemata over local rings
• On rational points of varieties over local fields having a model with tame quotient singularities
• An introduction to $p$-adic and motivic zeta functions and the monodromy conjecture
• Néron Models
• Intégration motivique sur les schémas formels
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item